Search a number
-
+
664435431464742 = 23275273297075117
BaseRepresentation
bin1001011100010011001110110…
…1110111100101111100100110
310020010120101222122002122220100
42113010303231313211330212
51144042102230423332432
610313045231240244530
7256644606251630040
oct22704635567457446
93203511878078810
10664435431464742
111827895362a1983
1262630055770746
1322698cb9222a12
14ba10bbca08a90
1551c3754ed107c
hex25c4cedde5f26

664435431464742 has 24 divisors (see below), whose sum is σ = 1645268687436816. Its totient is φ = 189838694704176.

The previous prime is 664435431464723. The next prime is 664435431464759. The reversal of 664435431464742 is 247464134534466.

It is a happy number.

664435431464742 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 3 + 543 + 1 + 4 + 6 + 47 + 42 = 666.

It is a super-3 number, since 3×6644354314647423 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 664435431464742.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2636648537433 + ... + 2636648537684.

It is an arithmetic number, because the mean of its divisors is an integer number (68552861976534).

Almost surely, 2664435431464742 is an apocalyptic number.

664435431464742 is an abundant number, since it is smaller than the sum of its proper divisors (980833255972074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664435431464742 is a wasteful number, since it uses less digits than its factorization.

664435431464742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273297075132 (or 5273297075129 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 63.

The spelling of 664435431464742 in words is "six hundred sixty-four trillion, four hundred thirty-five billion, four hundred thirty-one million, four hundred sixty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 5273297075117 10546594150234 15819891225351 31639782450702 36913079525819 47459673676053 73826159051638 94919347352106 110739238577457 221478477154914 332217715732371 664435431464742